vereinfachen ((2t)/5-(w^2)/4)((2t)/5+(w^2)/4)

Lösung

vereinfachen

(\frac{2 t}{5} - \frac{w ^{2}}{4}) (\frac{2 t}{5} + \frac{w ^{2}}{4})

\frac{( 8 t - 5 w ^{2} ) ( 8 t + 5 w ^{2} )}{400}

Schritte zur Lösung

(\frac{2 t}{5} - \frac{w ^{2}}{4}) (\frac{2 t}{5} + \frac{w ^{2}}{4})

Vereinfache

\frac{2 t}{5} - \frac{w ^{2}}{4} : \frac{8 t - 5 w ^{2}}{20}

= \frac{8 t - 5 w ^{2}}{20} (\frac{2 t}{5} + \frac{w ^{2}}{4})

Wende Bruchregel an:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 8 t - 5 w ^{2} ) ( \frac{2 t}{5} + \frac{w ^{2}}{4} )}{20}

Vereinfache

(8 t - 5 w^{2}) (\frac{2 t}{5} + \frac{w ^{2}}{4}) : \frac{( 8 t - 5 w ^{2} ) ( 8 t + w ^{2} \cdot 5 )}{20}

= \frac{\frac{( 8 t - 5 w ^{2} ) ( 8 t + w ^{2} \cdot 5 )}{20}}{20}

Wende Bruchregel an:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{( 8 t - 5 w ^{2} ) ( 8 t + w ^{2} \cdot 5 )}{20 \cdot 20}

Multipliziere die Zahlen:

20 \cdot 20 = 400

= \frac{( 8 t - 5 w ^{2} ) ( 8 t + w ^{2} \cdot 5 )}{400}

= \frac{( 8 t - 5 w ^{2} ) ( 8 t + 5 w ^{2} )}{400}

\frac{d}{d θ} ((x (θ)) (3 (1 - cos (θ))))

e x p an d - \frac{- 5 x + 4}{2 ln ( 5 ) x ( - x + 1 )}

s im pl i f y (x - 4) (x + 7) (x - 2) (x + 2)

s im pl i f y (1 - \frac{1}{x}) (1 + \frac{1}{z ^{2}}) (1 + \frac{1}{z})

e x p an d \frac{4 s + 2 s ^{2} + 8}{( s ^{2} + 4 ) ( s + 1 ) ^{2}}